8640540470016 has 1728 divisors, whose sum is σ = 33478577233920. Its totient is φ = 2161374658560.

The previous prime is 8640540469997. The next prime is 8640540470021. The reversal of 8640540470016 is 6100740450468.

8640540470016 is a `hidden beast` number, since 8 + 64 + 0 + 540 + 47 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×8640540470016² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9300904240 + ... + 9300905168.

It is an arithmetic number, because the mean of its divisors is an integer number (19374176640).

Almost surely, 2^{8640540470016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8640540470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16739288616960).

8640540470016 is an abundant number, since it is smaller than the sum of its proper divisors (24838036763904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8640540470016 is a wasteful number, since it uses less digits than its factorization.

8640540470016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 8640540470016 in words is "eight trillion, six hundred forty billion, five hundred forty million, four hundred seventy thousand, sixteen".